files / problems / covering / compute / qm43_p9_build_manifest.json

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{
  "construction": "QM_4^3, arXiv:2511.02542 Theorem 6.1",
  "density_denominator": 512,
  "density_numerator": 1121,
  "field_modulus_hex": "0xB",
  "format": "covering-qm43-p9-build-manifest-v1",
  "improvement_vs_table": 2,
  "indicator_kinds": {
    "field": 16,
    "star": 2
  },
  "length": 151,
  "matrix": "compute/H_R3_r18_n151.txt",
  "ok_covered_le1": 19,
  "ok_covered_le2": 163,
  "ok_covered_le3": 512,
  "ok_hex_msb_first": [
    "0x1A0",
    "0x174",
    "0x0A5",
    "0x173",
    "0x017",
    "0x0E8",
    "0x009",
    "0x18D",
    "0x1CE"
  ],
  "ok_partition_ell": 0,
  "ok_partition_labels": [
    2,
    5,
    6,
    5,
    1,
    7,
    8,
    4,
    7,
    5,
    1,
    3,
    1,
    0,
    8,
    7,
    7,
    0
  ],
  "ok_partition_one_based": [
    [
      14,
      18
    ],
    [
      5,
      11,
      13
    ],
    [
      1
    ],
    [
      12
    ],
    [
      8
    ],
    [
      2,
      4,
      10
    ],
    [
      3
    ],
    [
      6,
      9,
      16,
      17
    ],
    [
      7,
      15
    ]
  ],
  "previous_table_length_r18": 153,
  "rank": 18,
  "redundancy": 18
}